1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nookie1986 [14]
3 years ago
6

A race car moving along a circular track has a centripetal acceleration of 15.4^2. If the car has a tangential speed of 30 what

is the distance between the car and the center of the track?
Mathematics
2 answers:
Dominik [7]3 years ago
8 0
In uniform circular motion (circular motion at same speed), (tangential velocity)^2/radius = acceleration towards the center of the circle (centripetal acceleration) 
<span>Also, radius is the distance to the center of the circle (track). </span>
<span>So, in your case, 15.4m/s^2 = (30.0m/s)^2/(radius) </span>
<span>radius = (900.m^2/s^2) / (15.4m/s^2) </span>
<span>radius = 58.4m</span>
Lady_Fox [76]3 years ago
5 0

Answer:

58.44m

Step-by-step explanation:

Centripetal acceleration in a circular path is defined as follows:

a_{c}=\frac{v^2}{r}

Where a_{c} is the centripetal acceleration,  v is the tangential speed, and  r is the radius of the circle.

Since we need to know the distance between the car and the center of the track, we are looking for the radius of the circular track  r, so we clear for it in the last equation:

r=\frac{v^2}{a_{c}}

And since we have the following information:

centripetal acceleration: a_{c}=15.4m/s^2

tangential speed: v=30m/s

We substitute these values in the equation to find the radius:

r=\frac{v^2}{a_{c}}=\frac{(30m/s)^2}{15.4m/s^2}=\frac{900m^2/s^2}{15.4m/s^2}=58.44m

The distance between the car and the center of the track is 58.44m

You might be interested in
Use the graph of the function. Determine Over what interval(s) the function is positive or negative.
san4es73 [151]

Answer:

I can't see the numbers well, but the graph is decreasing from (-inf, minimum) and increasing from (minimum, inf).  The minimum  is the vertex.  Hope this helps!

Step-by-step explanation:

4 0
3 years ago
the small and the large intestine are part of the digestive system the small intestine longer than the large intestine and every
Bingel [31]
5 + n = large intestine  :-):-):-)
7 0
3 years ago
Can someone please help me check my answers ***Mark Brainliest***
lozanna [386]
I believe the answer for 17 is C.  18 I am not sure how to do.  For 19, however, the answer is B.  Hope I help, and sorry I can't answer 18.
3 0
3 years ago
Helen bought a four-unit apartment building for $561,000. The property lost value at a rate of 4.1% per year. Helen rented out e
ra1l [238]

Answer:

The correct answer is B

Step-by-step explanation:

$45,700 loss

5 0
3 years ago
Read 2 more answers
What is 1000000x20000
Aleks [24]
Two multiplied by 1 is 2. Then, add all of the zeroes. There are 10. 

Your answer is 20,000,000,000.
8 0
4 years ago
Read 2 more answers
Other questions:
  • A mustard seed weighs approximately 0.000004409 pounds. Estimate the weight of a mustard seed in pounds by writing it in the for
    7·1 answer
  • Find the area of the shaded area
    6·2 answers
  • Find the volume of the solid under the surface z = 5x + 9y 2 and above the region bounded by x = y 2 and x = y 3.
    15·1 answer
  • Karen is knitting quilts for her family and friends as holiday gifts. As she knits the quilts she becomes more proficient each w
    15·2 answers
  • What is 1.859 to the nearest hundredth
    6·1 answer
  • I need help on this question, It's for Algebra 1 Simplify the following expression. (7x2 + 4x - 7) + (4x2 - 6x + 4)
    5·1 answer
  • NEED HELP ASAP
    13·1 answer
  • How do you solve:<br><br> f(x)=In(3x)?
    8·1 answer
  • A word problem that can be solved by finding the number that have 4 as a factor
    5·1 answer
  • Keep in mind significant figures. 6.020*0.0510=?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!